16. A cuboid has a total surface area of 94 m2 and its lateral surface area is 70 m2. Find the area of its
base. Also, find its volume if its height is 5 m.
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Answer:
12m² and 60m³
Step-by-step explanation:
Total surface area of a cuboid = 2(lb+bh+lh)=94 m²
Lateral surface area = 2(l+b)h= 2(lh+bh)=70 m²
From the above equations,
2(lh+bh) +2lb = 94 m²
=> 70 m² + 2lb = 94 m²
=>Base area = lb = 24/2 m² = 12m²
Volume = l×b×h = Base area × height
= 12×5 = 60 m³
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